## Abstract

A model has been developed to determine the optimal distance between the official take-off line in the long-jump competition, and the arbitrary line that a jumper should select for himself and aim at for his take-offs in order to maximize the probability of scoring at least a given distance in the competition. The model has been solved numerically and upheld by simulation for a set of experimental data, for which the optimal location of the aimed at take-off line was determined as a function of the desired scored distance. It has been found that when the jumper aims at scoring at least a distance which is much below or much above his average jumping ability, it is imperative to use the corresponding optimal aimed at take-offline, and to avoid the use of the aimed at take-off line that maximizes the expected scored distance in the competition.

Original language | English |
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Pages (from-to) | 249-256 |

Number of pages | 8 |

Journal | Computers and Operations Research |

Volume | 14 |

Issue number | 3 |

DOIs | |

State | Published - 1 Jan 1987 |